{"id":"https://openalex.org/W2002858092","doi":"https://doi.org/10.1007/pl00007229","title":"On the Number of Vertices with Specified Eccentricity","display_name":"On the Number of Vertices with Specified Eccentricity","publication_year":2000,"publication_date":"2000-12-04","ids":{"openalex":"https://openalex.org/W2002858092","doi":"https://doi.org/10.1007/pl00007229","mag":"2002858092"},"language":"en","primary_location":{"id":"doi:10.1007/pl00007229","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00007229","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079803922","display_name":"Dhruv Mubayi","orcid":"https://orcid.org/0000-0002-4709-8768"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dhruv Mubayi","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA. e-mail: mubayi@math.gatech.edu, , , , , , US","School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA e-mail: mubayi@math.gatech.edu, US"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA. e-mail: mubayi@math.gatech.edu, , , , , , US","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA e-mail: mubayi@math.gatech.edu, US","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017595199","display_name":"Douglas B. West","orcid":"https://orcid.org/0000-0001-8818-1667"},"institutions":[{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas B. West","raw_affiliation_strings":["Department of Mathematics, University of Illinois, Urbana, IL 61801, USA e-mail: west@math.uiuc.edu, , , , , , US","Department of Mathematics, University of Illinois, Urbana, IL 61801, USA e-mail: west@math.uiuc.edu, , US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois, Urbana, IL 61801, USA e-mail: west@math.uiuc.edu, , , , , , US","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Department of Mathematics, University of Illinois, Urbana, IL 61801, USA e-mail: west@math.uiuc.edu, , US","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079803922"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.13206234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"4","first_page":"441","last_page":"452"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8431829214096069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8076848983764648},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.7001293301582336},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6326133608818054},{"id":"https://openalex.org/keywords/path-graph","display_name":"Path graph","score":0.5151787996292114},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.512661874294281},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.47813427448272705},{"id":"https://openalex.org/keywords/eccentricity","display_name":"Eccentricity (behavior)","score":0.4691169559955597},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3708028197288513},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.35364943742752075},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08337396383285522},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07327526807785034}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8431829214096069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8076848983764648},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.7001293301582336},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6326133608818054},{"id":"https://openalex.org/C128067373","wikidata":"https://www.wikidata.org/wiki/Q1415372","display_name":"Path graph","level":5,"score":0.5151787996292114},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.512661874294281},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.47813427448272705},{"id":"https://openalex.org/C190538878","wikidata":"https://www.wikidata.org/wiki/Q50013","display_name":"Eccentricity (behavior)","level":2,"score":0.4691169559955597},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3708028197288513},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.35364943742752075},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08337396383285522},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07327526807785034},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00007229","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00007229","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1591736593","https://openalex.org/W2004429182"],"related_works":["https://openalex.org/W2982283786","https://openalex.org/W4288436438","https://openalex.org/W1995383828","https://openalex.org/W4298388358","https://openalex.org/W2611288326","https://openalex.org/W1970462054","https://openalex.org/W2316246740","https://openalex.org/W2151291961","https://openalex.org/W2276107497","https://openalex.org/W4300822625"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}